Export BGE Soft-body Distortions to 3D view?
It does not appear to be possible.  You'd probably have to write a script to export it, but:
"There are no python bindings to control soft bodies, and no logic brick support, except for apply force and add object actuator. " - http://wiki.blender.org/index.php/Dev:Source/GameEngine/BulletSoftBody

(I can't yet reply to your question to clarify.  What are you trying to accomplish?  You have another question about multiple soft bodies colliding, is the problem related? like I said, combining them into one object works, but a drawback is they have to all have the same settings... but with more detail to your problem, there may be a way.)